Summary
As in Chap. 6, consider a fibre square
with i a regular imbedding of codimension d, V a k-dimensional variety. If Z is an irreducible component of W of dimension k − d, the intersection multiplicity i (Z, X · V; Y) is defined to be the coefficient of Z in the intersection class X · V ∈ A k−d (W). The intersection multiplicity is a positive integer, satisfying
.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Fulton, W. (1984). Intersection Multiplicities. In: Intersection Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02421-8_8
Download citation
DOI: https://doi.org/10.1007/978-3-662-02421-8_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-02423-2
Online ISBN: 978-3-662-02421-8
eBook Packages: Springer Book Archive